Small Bank has a portfolio of assets with duration DA-43 years, and liabilities with duration DL-30 years, and leverage (k) of 92%. Total assets as of year-end 2021 are $1,000,000. According to the duration gap model, what size interest rate change (AR) would make Small Bank insolvent? Current rates are 4%? Multiple Choice O 10.101% -10 101% 5403%
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- Assume a bank has the following (very simplified) balance sheet. 1)Assets Mortgages Fixed rate, 15 year, annual payments, both the coupon rate and yield-to-maturity are 8% Floating rate, 15 year, rate: LIBOR + 2%, (duration = 0) 2)Liabilities Overnight deposits, rate: 0.6%, (duration = 0) 2 year CD, rate: 2%, assume it is a zero coupon 3 year CD, rate: 4%, assume it is a zero coupon 3) Assignment: Calculate weights which will immunize the portfolio. Note this is a set of weights, there is not one unique solution. You don't have to calculate the full set, just some set of weights which immunizes the portfolio. Now say you can only invest 50% of your assets in floating rate mortgages. What is the minimum amount of interest rate risk you can have? What will happen to the value of your portfolio if interest rates increase by 1%?A bank has DA = 2.4 years and DL = 0.9 years. The bank has total equity of $82 million and total assets of $850 million. Interest rates are at 6 percent. To get DE to equal zero to protect the equity value in the event of an interest rate change, the bank could: Multiple Choice О reduce Dд to 1.21 years. о increase DL to 3.10 years. о increase Dд to 2.44 years. increase D. to 277 areConsider the following Balance Sheet for Forward Thinking Commercial Bank(FTCB) (in millions) ASSETS LIABILITIES Floating rate mortgages 250 Demand deposits 300 (currently 14% annually) (currently 5% annually) 30 years fixed rate loans 1 year CD 50 (currently 9% annually) 120 (currently 8% annually) Equity 20 370 370 a. What is FTCB expected net interest income (NII) at year end? b. What is FTCB expected net interest income at year end if interest rates fell by seven percent (7%). c. What is FTCB expected net interest income at year end if interest rates grew by 300 basis points on assets, but decline by 2% on liabilities.
- If Capital Two Bank (CTB) finances a $250,000 2-year fixed-rate loan with a $200,000 1-year fixed-rate CD, based on the repricing model, what is the change in CTB's net interest income for the 1-year maturity bucket when interest rates decrease by 100 basis points? OA. $500 OB. $2,000 OC.-$500 ⒸD.-$2,000Eagle Bank has the following interest-sensitive assets and interest-sensitive liabilities. Amount maturing in Amount maturing in 30 days (million) 570 330 116 Interest-sensitive assets Loans Securities 30 days (million) 810 63 Interest rate on interest-sensitive assets is 5% Interest rate on interest-sensitive liabilities is 3% Interest-sensitive liabilities Savings deposits Time deposits Money market The interest rate is expected to rise 1% (for both interest-sensitive assets and liabilities) 30 days later. Will Eagle Bank benefit from the interest rate rise? Explain your answer. Show your calculations.Consider the following Balance Sheet for Forward Thinking CommercialBank(FTCB) (in millions) Assets Liabilities Floating rate mortgages (currently 14% annually) 250 Demand deposits (currently 5% annually) 300 30 years fixed rate loans 120 1 year CD (currently 8% annually) 50 Equity 20 370 370 a. What is FTCB expected net interest income (NII) at year end? b. What is FTCB expected net interest income at year end if interest rates fell by seven percent (7%). c. What is FTCB expected net interest income at year end if interest rates grew by 300 basis points on assets, but decline by 2% on liabilities.
- Consider the following Balance Sheet for Cutting Edge Commercial Bank(CECB) (in millions) ASSETS LIABILITIES Floating rate mortgages 120 Demand deposits 110 (currently 14% annually) (currently 5% annually) 30 years fixed rate loans 1 year CD 50 (currently 9% annually) 80 (currently 8% annually) Equity 40 200 200 1. What is CECB expected net interest income (NII) at year-end? 2. What is CECB expected net interest income at year end if interest rates fell by seven percent (7%). 3. What is CECB expected net interest income at year end if interest rates grew by 300 basis points on assets, but decline by 2% on liabilities.Use the following to answer questions 3-4: Use balance sheet available for an FI (all in market values). Consumer loans $150 m Liabilities $300 m Commercial Loans $250 m Equity $100 m Total Assets $400 m Total Liabilities & Equity $400 m The average duration of the loans is 8 years. The average duration of the liabilities is 2 years. 3. What is the duration gap of the bank's portfolio? A. 10 years B. 6.3 years C. 6.5 years D. 7.98 years E. 8.0 years 4. What is the change in the value of the FI's equity for a 1 percent increase in interest rates from the current rates of 0.07 (1.e., 7 percent)? Assume flat term structure, and parallel shifts in yield curves. Use the duration concept. A. $17.30987 m B. $19.51818 m C. -S 22.59093 m D. -$23.11114 m E. - $24.29906 mOZ Bank finances a $53000 2-year fixed-rate loan with a $70000 1-year fixed-rate CD. Use the repricing model to determine (a) the OZ Bank's repricing (or funding) gap using a 1- year maturity bucket, and (b) the impact of a 30 basis point (0.3%) increase in interest rates on OZ Bank's annual net interest income? OA. $17000,-$51 O B. $70000, $210 O C. -$70000,-$210 O D. -$70000, $210 OE. -$17000, $51
- A bank is considering a debt-for-equity swap to slavage a $5 million loan that is in default. They expect to recover $2.7 million after liquidation ane legal fees. A turnaround expert has recommended the following cassh flow analysis if the bank chooses the debt-for-equirt swap. Initial Investment $5,000,000 in year 0 Expected cash flows after turnaround $1,750,000 in years 2-6 Sale of Equity (Exit) $3,500,000 in year 6 Equity ownership 70% Cost of capital 12% Should they engage in the debt-for-equity swap? A Yes, they should engage in the debt-for-equity swap B No, they should not because the NPV after the turnaround is greater than the liquidation value C Yes, they should engage in the debt-for-equity swap only if the cost of capital is 10% D No, they should not engage in the…) Prince Edward Bank considers increasing a type of loans in the credit portfolio by $3,500,000,which will generate a gross income of 2.5%p.a. The bank assumes PD is 10% and estimates LGDis 20% and EAD as 80%. The net income, which is gross income minus Expected Loss (i.e. EL),will be used in the RAROC analysis. When doing so, the Bank refers to the net income andunexpected loss (i.e. UL) as the capital-as-risk estimation.Required:If the ROE of Prince Edward Bank is targeted at 25%, analyze whether the loans could be addedto the portfolio by RARoC analysisIf a bank has quarterly deposit interest expense of $1MM, an average deposit portfolio of $3.2Bn and it is 50% non-interest bearing and 50% interest bearing, what is the bank's Interest Bearing Deposit cost?
